Apparently it is not patronymic. According to this site, “Patronymic names in Finnish end with -poika (son) or -tytär (daughter).”
Elsewhere the same site rather unhelpfully mentions, “Family surnames have certain types of endings: -nen or -ainen/-äinen. For example, Huuskonen and Liimatainen are family surnames.” Doesn’t really say what the meaning of those endings is.